Lipschitz Lectures

Adaptive FEM: Theory and Applications to Geometric PDE

Ricardo H. Nochetto, University of Maryland

 

Date: January 20 - February 5, 2009

  • Tuesdays: 10:00-12:00
  • Thursdays: 10:00-12:00

Location: kleiner Hörsaal, Wegelerstr. 10

Abstract:

Adaptivity is the combined use of a posteriori error estimators with suitable marking and refinement strategies to optimize the computational effort. This course will review recent developments in the theory of convergence and complexity of adaptive FEM, both continuous and discontinuous, as well as applications to geometric PDE governed by the Laplace-Beltrami operator. The latter include surface diffusion, shape optimization, and fluid biomembranes with and without constraints, as well as the concept of geometrically consistent mesh modification of surfaces - a new paradigm in adaptivity.